The conformal transformation of an airfoil into a straight line and its application to the inverse problem of airfoil theory

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A method of conformal transformation is developed that maps an airfoil into a straight line, the line being chosen as the extended chord line of the airfoil. The mapping is accomplished by operating directly with the airfoil ordinates. The absence of any preliminary transformation is found to shorten the work substantially over that of previous methods. Use is made of the superposition of solutions to obtain a rigorous counterpart of the approximate methods of thin-airfoils theory. The method is applied to the solution of the direct and inverse problems for arbitrary airfoils and pressure distributions. Numerical examples are given. Applications ... continued below

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Mutterperl, William December 1, 1944.

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A method of conformal transformation is developed that maps an airfoil into a straight line, the line being chosen as the extended chord line of the airfoil. The mapping is accomplished by operating directly with the airfoil ordinates. The absence of any preliminary transformation is found to shorten the work substantially over that of previous methods. Use is made of the superposition of solutions to obtain a rigorous counterpart of the approximate methods of thin-airfoils theory. The method is applied to the solution of the direct and inverse problems for arbitrary airfoils and pressure distributions. Numerical examples are given. Applications to more general types of regions, in particular to biplanes and to cascades of airfoils, are indicated. (author).

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  • Accession or Local Control No: 93R20209
  • URL: http://hdl.handle.net/2060/19930090919 External Link
  • Report No.: NACA-WR-L-113
  • Report No.: NACA-ARR-L4K22A
  • Center for AeroSpace Information Number: 19930090919
  • Archival Resource Key: ark:/67531/metadc65421

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National Advisory Committee for Aeronautics Collection

The National Advisory Committee for Aeronautics (NACA) was a U.S. federal agency founded on March 3, 1915 to undertake, promote, and institutionalize aeronautical research. On October 1, 1958 the agency was dissolved, and its assets and personnel transferred to the newly created National Aeronautics and Space Administration (NASA).

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  • December 1, 1944

Added to The UNT Digital Library

  • Nov. 17, 2011, 10:13 p.m.

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  • April 11, 2018, 2:40 p.m.

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Mutterperl, William. The conformal transformation of an airfoil into a straight line and its application to the inverse problem of airfoil theory, report, December 1, 1944; (digital.library.unt.edu/ark:/67531/metadc65421/: accessed October 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.